33 citations · 52 across the 16 of their papers we have counts for
12 papers · 1 filter
A sub-Riemannian model of the motor cortex with Wasserstein distance
Jawad Ali, Giovanna Citti, Alessandro Sarti
This study aims to better understand the functional geometry of the motor cortex, starting from different sources of experimental evidence. Recent studies have proved that cells of…
A sub-Riemannian model of neural states in the primary motor cortex
Caterina Mazzetti, Jawad Ali, Alessandro Sarti +1
We develop a neurogeometric model for the arm area of motor cortex, which encodes complex motor primitives, ranging from simple movement features like movement direction, to short…
Individuation of 3D perceptual units from neurogeometry of binocular cells
Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti +1
We model the functional architecture of the early stages of three-dimensional vision by extending the neurogeometric sub-Riemannian model for stereo-vision introduced in \cite{BCSZ…
Cortical Functional architectures as contact and sub-Riemannian geometry
Giovanna Citti, Alessandro Sarti
In a joint paper, Jean Petitot together with the authors of the present paper described the functional geometry of the visual cortex as the symplectization of a contact form to des…
A sub-Riemannian model of the functional architecture of M1 for arm movement direction
Caterina Mazzetti, Alessandro Sarti, Giovanna Citti
In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area of the primary motor cortex (M1). We mathematically express the hypercolumnar organizati…
Good continuation in 3D: the neurogeometry of stereo vision
Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti +1
Classical good continuation for image curves is based on position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and b…